Thermodynamics of non-Markovian reservoirs and heat engines

Abstract

We show that non-Markovian effects of the reservoirs can be used as a resource to extract work from an Otto cycle. The state transformation under non-Markovian dynamics is achieved via a two-step process, namely an isothermal process using a Markovian reservoir followed by an adiabatic process. From second law of thermodynamics, we show that the maximum amount of extractable work from the state prepared under the non-Markovian dynamics quantifies a lower bound of non-Markovianity. We illustrate our ideas with an explicit example of non-Markovian evolution.

arXiv comment9 pages, 6 figures

References in corpus (28)

• Quantum Thermodynamic Cycles and quantum heat engines
• The second laws of quantum thermodynamics
• A nano heat engine beyond the Carnot limit
• The Physics of Maxwell's demon and information
• Work extraction and thermodynamics for individual quantum systems
• Quantum Equivalence and Quantum Signatures in Heat Engines
• Second law and Landauer principle far from equilibrium
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• Quantum Szilard Engine
• Truly work-like work extraction
• Energetics of quantum correlations
• A Coupled Quantum Otto Cycle
• Implications of non-Markovian dynamics for the Landauer bound
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Thermodynamic meaning and power of non-Markovianity
• Breakdown of the Landauer bound for information erasure in the quantum regime
• Validity of Landauer's principle in the quantum regime
• Long-time memory in non-Markovian evolutions
• Entropy production and non-Markovian dynamical maps
• Quantum Otto engine with exchange coupling in the presence of level degeneracy
• Measurement-induced operation of two-ion quantum heat machines
• Non-Markovian finite-temperature two-time correlation functions of system operators: beyond the quantum regression theorem
• Work extraction via quantum nondemolition measurements of qubits in cavities: Non-Markovian effects
• Vibration-induced coherence enhancement of the performance of a biological quantum heat engine
• Thermodynamic fingerprints of non-Markovianity in a system of coupled superconducting qubits
• Implications of Coupling in Quantum Thermodynamic Machines
• Thermodynamic description of non-Markovian information flux of nonequilibrium open quantum systems
• Non-Markovian Dynamics of Discrete-Time Quantum Walks

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